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4048434 = 233137379
BaseRepresentation
bin1111011100011000110010
321121200102000
433130120302
52014022214
6222434430
746261005
oct17343062
97550360
104048434
112315715
121432a16
13ab9930
1477553c
1554e809
hex3dc632

4048434 has 64 divisors (see below), whose sum is σ = 9945600. Its totient is φ = 1213056.

The previous prime is 4048433. The next prime is 4048441. The reversal of 4048434 is 4348404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4048398 and 4048407.

It is not an unprimeable number, because it can be changed into a prime (4048433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51207 + ... + 51285.

It is an arithmetic number, because the mean of its divisors is an integer number (155400).

Almost surely, 24048434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4048434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972800).

4048434 is an abundant number, since it is smaller than the sum of its proper divisors (5897166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4048434 is a wasteful number, since it uses less digits than its factorization.

4048434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4048434 is about 2012.0720663038. The cubic root of 4048434 is about 159.3782379965.

The spelling of 4048434 in words is "four million, forty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 73 78 79 117 146 158 219 234 237 351 438 474 657 702 711 949 1027 1314 1422 1898 1971 2054 2133 2847 3081 3942 4266 5694 5767 6162 8541 9243 11534 17082 17301 18486 25623 27729 34602 51246 51903 55458 74971 103806 149942 155709 224913 311418 449826 674739 1349478 2024217 4048434